A simple proof of finiteness of areas of asymptotic triangles in non-Euclidean geometry;
非欧几何中极限三角形面积有限性的简单证明
From the study of the parallel postulate to the establishment of the non-Euclidean geometry;
从平行公设的研究到非欧几何的创立
In this paper, the author queried a few conclusions in [1] , and elaborated different views on several problems, such as relations between non-Euclidean geometry and real space, relations between mathematical logic and thinking, the significance of Godel s second incompleteness theorem, and so on.
本文对文〔1〕的几个论断提出一些疑问 ,并在“非欧几何与现实空间”、“数理逻辑与思维”、“哥德尔不完备性定理的意义”等若干问题上表述了与《数学是什么》一文中不同的观点。